Вопрос:

a) -5(-y + 9) = y + 10; б) m – 17 = (m + 4)(-9); в) 17 - 4(m + 11) = 43; г) -7(4x + 2) – 3 = −17; д) -4,8у + 7,2 = 3(2,4y + 4,8); e) -5(0,6y - 1,8) = -2y + 8,5.

Ответ:

Решение уравнений:

  1. а)
    • \[ -5(-y + 9) = y + 10 \]
    • \[ 5y - 45 = y + 10 \]
    • \[ 5y - y = 10 + 45 \]
    • \[ 4y = 55 \]
    • \[ y = \frac{55}{4} = 13.75 \]
  2. б)
    • \[ m - 17 = (m + 4)(-9) \]
    • \[ m - 17 = -9m - 36 \]
    • \[ m + 9m = -36 + 17 \]
    • \[ 10m = -19 \]
    • \[ m = -\frac{19}{10} = -1.9 \]
  3. в)
    • \[ 17 - 4(m + 11) = 43 \]
    • \[ 17 - 4m - 44 = 43 \]
    • \[ -4m - 27 = 43 \]
    • \[ -4m = 43 + 27 \]
    • \[ -4m = 70 \]
    • \[ m = -\frac{70}{4} = -17.5 \]
  4. г)
    • \[ -7(4x + 2) - 3 = -17 \]
    • \[ -28x - 14 - 3 = -17 \]
    • \[ -28x - 17 = -17 \]
    • \[ -28x = 0 \]
    • \[ x = 0 \]
  5. д)
    • \[ -4.8y + 7.2 = 3(2.4y + 4.8) \]
    • \[ -4.8y + 7.2 = 7.2y + 14.4 \]
    • \[ 7.2 - 14.4 = 7.2y + 4.8y \]
    • \[ -7.2 = 12y \]
    • \[ y = -\frac{7.2}{12} = -0.6 \]
  6. е)
    • \[ -5(0.6y - 1.8) = -2y + 8.5 \]
    • \[ -3y + 9 = -2y + 8.5 \]
    • \[ 9 - 8.5 = -2y + 3y \]
    • \[ 0.5 = y \]

Ответ:

  • а) $$y = 13.75$$
  • б) $$m = -1.9$$
  • в) $$m = -17.5$$
  • г) $$x = 0$$
  • д) $$y = -0.6$$
  • е) $$y = 0.5$$
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